齐次群上分数次积分交换子的加权Morrey估计

摘要

研究齐次群上由分数次积分算子和BMO 函数生成的交换子在加权Morrey空间中的有界性。利用 Hölder不等式,John-Nirenberg 引理及权函数的相关性质,得到了分数次积分交换子在齐次群上的加权Morrey估计,推广了欧氏空间上的相关结果。%In the framwork of homogeneous groups,the boundednesses of commutators of frac-tional integral with BMO functions in weighted Morrey space are studied.Weighted Morrey es-timates for commutators of fractional integral on homogeneous groups can be deduced by ap-plying Hölder's inequality,John-Nirenberg lemma and properties of weighted functions.The results generalize the related result in Euclidean spaces.